Math, asked by divyanshi0020, 4 months ago

find the mean ,median and the mode of 12,24,24,12,30and 12​

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Answered by negiabhishek236
2

Answer:

find the mean ,median and the mode of 12,24,24,12,30and 12

Step-by-step explanation:

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Answered by bhadravatiexservicem
1

Solution :

(i) 12, 24, 24, 12, 30 and 12

Mean = \frac{Sum\ of\ all\ observations\ }{No.\ of\ observations}

=\frac{(12+24+24+12+30+12)}{6}

=\frac{114}{9}

=19

∴ Mean =19

Numbers are 12, 24, 24, 12, 30 and 12

Most frequently occuring term = 12

∴ Mode = 12

Ascending order = 12, 12, 12, 24, 24, 30

Number of terms = 6 (even)

Median =\frac{1}{2}\left\{\frac{n}{2}th\ term\ +\ \left(\frac{n}{2}+1\right)th\ term\ \right\}

=\frac{1}{2}\left\{\frac{6}{2}th\ term\ +\ \left(\frac{6}{2}+1\right)th\ term\ \right\}

=\frac{1}{2}\left\{3^{rd}\ term\ +4^{th}\ term\ \right\}

=\frac{1}{2}\left\{12+24\right\}

=\frac{1}{2}\times36

=18

∴ Median =18

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